In additive combinatorics, a discipline within mathematics, Freiman's theorem is a central result which indicates the approximate structure of sets whose...

result can be seen as a nonabelian version of Freiman's theorem, and a generalization of Gromov's theorem on groups of polynomial growth. If A is a set...

number theorem (number theory) Five color theorem (graph theory) Four color theorem (graph theory) Freiman's theorem (number theory) Friendship theorem (graph...

structures of A and B? In the case of the integers, the classical Freiman's theorem provides a partial answer to this question in terms of multi-dimensional...

theory, in particular, for proving Freiman's theorem. He was a Professor Emeritus in Tel Aviv University. Freiman was born in Kazan on 3 July 1926. He...

work, A polynomial bound in Freiman's theorem, Professor Chang established new quantitative bounds for Freiman's inverse theorem. Mei-Chu Chang was elected...

small (compared to the size of A {\displaystyle A} ); see for example Freiman's theorem. Restricted sumset Sidon set Sum-free set Schnirelmann density Shapley–Folkman...

author Nate Freiman (born 1986), American baseball player Freiman's theorem, a combinatorial result in number theory proved by Gregory Freiman Sergey von...

semilinear sets are exactly the sets definable in Presburger arithmetic. Freiman's theorem Ginsburg, Seymour; Spanier, Edwin Henry (1966). "Semigroups, Presburger...

computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs...

the inequality. The inequality forms a crucial step in the proof of Freiman's theorem. The following sumset notation is standard in additive combinatorics...

(log x)1+ε elements up to x, for every x. He gave a new proof to Freiman's theorem. Ruzsa also showed the existence of a Sidon sequence which has at...

maps R onto [0,1]. Markov number Cassels (1957) p.18 Freiman's Constant Weisstein, Eric W. "Freiman's Constant." From MathWorld—A Wolfram Web Resource),...

progressions, for his work dramatically improving bounds connected with Freiman's theorem on sets with small doubling, and for other results in additive combinatorics...

com/2007/03/11/ben-green-the-polynomial-freiman-ruzsa-conjecture/ Ruzsa, I. (1999). "An analog of Freiman's theorem in groups" (PDF). Astérisque. 258: 323–326...

this theorem for lower asymptotic density was obtained by Kneser. At a later date, E. Artin and P. Scherk simplified the proof of Mann's theorem. Let...

In 2021, Lean 4 was released, which was a reimplementation of the Lean theorem prover capable of producing C code which is then compiled, enabling the...

Erdős–Ginzburg–Ziv theorem after its discoverers. It may also be deduced from the Cauchy–Davenport theorem. More general results than this theorem exist, such...

Cauchy-Davenport Theorem for Finite Groups". arXiv:1202.1816 [math.CO]. DeVos, Matt (2016). "On a Generalization of the Cauchy-Davenport Theorem". Integers...

mathematics known as additive combinatorics, Kneser's theorem can refer to one of several related theorems regarding the sizes of certain sumsets in abelian...

7 November 1968) was a Soviet mathematician. Gelfond's theorem, also known as the Gelfond–Schneider theorem, is named after him. Alexander Gelfond was born in...

contains the interval [ F , ∞ ] {\displaystyle [F,\infty ]} where F is Freiman's constant. Hence, if m > F ≈ 4.52783 {\displaystyle m>F\approx 4.52783}...

with Terence Tao, they proved a structure theorem for approximate groups, generalising the Freiman-Ruzsa theorem on sets of integers with small doubling...

Green 2012, Theorem 2.1. Breuillard, Tao & Green 2012, Theorem 1.6. Breuillard 2012, Theorem 4.8. Breuillard, Tao & Green 2012, Theorem 1.11. Breuillard...

fractions, algebra, quadratic and cubic equations and the Pythagorean theorem. The Babylonian tablet YBC 7289 gives an approximation of 2 {\displaystyle...

{\displaystyle a{\sqrt {3}}} . Both formulas can be determined by using Pythagorean theorem. The surface area of a cube A {\displaystyle A} is six times the area of...

rectangle equal ( 3 2 ) / 4 {\textstyle (3{\sqrt {2}})/4} , by the Pythagorean theorem or (equivalently) the formula for Euclidean distance in three dimensions...

with Paul Erdős and Abraham Ziv, proved the Erdős-Ginzburg-Ziv Theorem. This Theorem is an important result in Abelian group theory, and is cited to...

Epidemiologic Reviews. 24 (1): 39–53. doi:10.1093/epirev/24.1.39. PMID 12119854. Freiman JA, Chalmers TC, Smith H, et al. (September 1978). "The importance of beta...

Princeton Andrew Wiles (born 1953), mathematician who proved Fermat's Last Theorem, Princeton University professor Woodrow Wilson (1856–1924), 28th President...